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Senior Mathematics

Mathematics and Statistics – Year 11

The Mathematics department provides two different courses in Year 11, both of which offer credits at NCEA Level 1 and allow students the opportunity to gain Level 1 numeracy. Students should select the most appropriate course for their needs. Their teacher will be able to advise them on this. The two courses are:

(a) Mathematics and Statistics, 11MS
This course follows Level 6 of the curriculum. To be successful in this course you must have good algebraic skills. This course consolidates and extends content introduced in Years 9 and 10.
Topics covered will be a selection of Number, Algebra, Linear, Quadratic and Exponential Relationships, Geometry, Statistics and Probability standards.

Assessment: A mixture of internal assessment and external examinations will be offered in this course.

Pre-requisites: Nil

Voluntary contribution: Approximately $20 for course workbooks

Specialist equipment: A scientific or graphics calculator will be required

Leads to: Year 12 Mathematics and Statistics (12MS) or Year 12 Mathematics and Statistics Internal (12MSI)

Qualification available: NCEA Level 1

(b) Mathematics and Statistics Internal, 11MSI
This course follows Level 6 of the curriculum but is designed for students who have found Algebra challenging at Years 9 and 10. It also suits students who feel that they achieve better results by completing internals throughout the year as opposed to an external examination at the end of the year. Topics covered will be a selection of Number, Linear Algebra, Measurement, Statistics and Probability standards.

Assessment: This course is fully internally assessed using Achievement Standards.

Pre-requisites: Nil

Voluntary contribution: Nil

Specialist equipment: A scientific or graphics calculator will be required

Leads to: Year 12 Mathematics and Statistics Internal (12MSI)

Qualification available: NCEA Level 1

Mathematics and Statistics – Year 12

The Mathematics department provides two different courses in Year 12. Students should select the most appropriate course for their needs. Their teacher will be able to advise them on this. The two courses are:

(a) Mathematics and Statistics, 12MS
This course follows Level 7 of the curriculum. To be successful in this course your algebra skills will need to continue to develop and improve. New topics you will be introduced to are calculus and probability concepts. You will also continue to extend your graphing and statistical analysis skills.

Assessment: A mixture of internal assessment and external examinations will be offered in this course.

Pre-requisites: Merit or higher achievement in either the Algebra (MCAT) or Relationships (Tables, Equations and Graphs) examinations. This may be from the derived grades and/or end of year external examinations.

Voluntary contribution: Approx $20 for a set of workbooks.

Specialist equipment: It is a course requirement to have a Graphics calculator for each lesson (any Casio model is recommended). This is important as it allows students to get comfortable with the necessary calculator functions prior to exams. If it is not feasible to purchase a calculator, please contact the Head of Maths to make alternative arrangements.

Leads to: Mathematics with Calculus or Mathematics with Statistics in Year 13.

Qualification available: NCEA Level 2

(b) Mathematics and Statistics Internal, 12MSI
This course follows Level 7 of the curriculum but has been designed for students who have found Algebra challenging at Year 11. This course offers five internally assessed papers, with the option of one further standard assessed as an external examination. This will suit students who feel that they achieve better results by completing the majority of the coursework through internal assessments during the year. New topics you will be introduced to are: networks and deeper exploration of the statistical enquiry cycle. You will also continue to extend your trigonometric, probability theory and analysis skills.

Assessment: 5 Achievement Standards that are internally assessed and 1 externally assessed paper.

Pre-requisites: 12 credits in Mathematics and Statistics at Level 1 (from either 11MS or 11MSI)

Voluntary contribution: Approx $20 for a set of workbooks.

Specialist equipment: A graphic calculator is required for students who wish to take the optional external examination (a Casio model is recommended). This is important as it allows students to get comfortable with the necessary calculator functions prior to the exam. If it is not feasible to purchase a calculator, please contact the Head of Maths to make alternative arrangements.

Leads to: Mathematics with Statistics Internal in Year 13 (13MSI)

Note: Students who achieve at Merit level in the Statistical Inference internal assessment and the optional Probability external examination may choose to take Year 13 Mathematics with Statistics (13MS).

Qualification available: NCEA Level 2

Mathematics and Statistics – Year 13

The Mathematics Department provides two Mathematics with Statistics courses in Year 13. Students should select the most appropriate course for their needs. Their teacher will be able to advise them on this. The two Mathematics with Statistics courses are:

(a) Mathematics with Statistics , 13MS\
This course covers topics in Mathematics and Statistics that were introduced in Year 12. To be successful in this course you need good statistical analysis skills. The Probability content covers probability theory and probability distributions. The Statistical content covers making an inference using statistical methods and analysing time series data.

Assessment: A mixture of internal assessments and external examinations will be offered in this course

Pre-requisites: 12 Achievement Standard credits in Mathematics at NCEA Level 2 including those in Statistics and Probability

Voluntary contribution: Approximately $20 for a set of workbooks.

Specialist equipment: A Graphics calculator required for the externally assessed topics (a Casio model is recommended). This is important as it allows students to get comfortable with the necessary calculator functions prior to exams. If it is not feasible to purchase a calculator, please contact the Head of Maths, to make alternative arrangements.

Leads to: UE is available from this course. It will lead to Tertiary study.

Qualification available: NCEA Level 3

(b) Mathematics with Statistics Internal, 13MSI
This course covers some of the same topics as Mathematics with Statistics (13MS) including making an inference using statistical methods and analysis of time series data. There are also mathematical topics including linear programming, simultaneous equations and critical path analysis.

Assessment: This course is fully internally assessed using Achievement Standards. There are no external examinations at the end of the year.

Pre-requisites: 12 Achievement Standard credits in Mathematics at NCEA Level 2 (from 12MS or 12MSI)

Voluntary contribution: $20 for a set of workbooks.

Leads to: UE is available from this course. It will lead to Tertiary study.

Qualification available: NCEA Level 3

Mathematics with Calculus – Year 13, 13MC

This course develops concepts of differentiation, integration and algebra that were introduced in Year 12. To be successful, you need to have strong algebraic skills. Approximately half of the course covers new work in differentiation and integration. The remainder covers complex numbers, trigonometric functions and modelling and simultaneous equations.

Assessment: A mixture of internal assessment and external examinations will be offered in this course

Pre-requisites: Merit or higher achievement in the Algebra and Calculus external examinations. This may be from the derived grades and/or end of year external examinations.

Voluntary contribution: Approximately $25 for a set of workbooks.

Specialist equipment: It is a course requirement to have a Graphics calculator for each lesson (a Casio model is recommended). This is important as it allows students to get comfortable with the necessary calculator functions prior to exams. If it is not feasible to purchase a calculator, please contact the Head of Maths, to make alternative arrangements.

Leads to: UE is available from this course. It will lead to Tertiary study.

Qualification available: NCEA Level 3